Search a number
-
+
1100111220012 = 2237237331152767
BaseRepresentation
bin10000000000100011101…
…111010000110100101100
310220011120122100022220110
4100000203233100310230
5121011011433020022
62201214545220020
7142323532040100
oct20004357206454
93804518308813
101100111220012
11394611116262
12159261031610
137c980b49a2c
143b362179900
151d93a62000c
hex10023bd0d2c

1100111220012 has 144 divisors (see below), whose sum is σ = 3076004456448. Its totient is φ = 304896493440.

The previous prime is 1100111220011. The next prime is 1100111220029. The reversal of 1100111220012 is 2100221110011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1100111220012.

It is not an unprimeable number, because it can be changed into a prime (1100111220011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7124853 + ... + 7277619.

Almost surely, 21100111220012 is an apocalyptic number.

1100111220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100111220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538002228224).

1100111220012 is an abundant number, since it is smaller than the sum of its proper divisors (1975893236436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100111220012 is a wasteful number, since it uses less digits than its factorization.

1100111220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153156 (or 153147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100111220012 its reverse (2100221110011), we get a palindrome (3200332330023).

The spelling of 1100111220012 in words is "one trillion, one hundred billion, one hundred eleven million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 331 444 518 588 662 777 993 1036 1324 1554 1813 1986 2317 3108 3626 3972 4634 5439 6951 7252 9268 10878 12247 13902 16219 21756 24494 27804 32438 36741 48657 48988 64876 73482 85729 97314 146964 152767 171458 194628 257187 305534 342916 458301 514374 600103 611068 916602 1028748 1069369 1200206 1800309 1833204 2138738 2400412 3208107 3600618 4277476 5652379 6416214 7201236 7485583 11304758 12832428 14971166 16957137 22456749 22609516 29942332 33914274 39566653 44913498 50565877 67828548 79133306 89826996 101131754 118699959 151697631 158266612 202263508 237399918 276966571 303395262 353961139 474799836 553933142 606790524 707922278 830899713 1061883417 1107866284 1415844556 1661799426 1870937449 2123766834 2477727973 3323598852 3741874898 4247533668 4955455946 5612812347 7433183919 7483749796 9910911892 11225624694 13096562143 14866367838 22451249388 26193124286 29732735676 39289686429 52386248572 78579372858 91675935001 157158745716 183351870002 275027805003 366703740004 550055610006 1100111220012